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Finding the Fourth Proportional to 227,714.82, 314,274.16 and 132,221.51

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Solution

The fourth proportional to 227,714.82, 314,274.16 and 132,221.51 is: 182,481.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,714.82 : 314,274.16 = 132,221.51 : x
  2. Step 2: Convert to fraction form
    227,714.82/314,274.16 = 132,221.51/x
  3. Step 3: Cross multiply
    227,714.82x = 314,274.16 × 132,221.51
  4. Step 4: Simplify right side
    227,714.82x = 41,553,804,785.66
  5. Step 5: Solve for x
    x = 41,553,804,785.66/227,714.82
  6. Step 6: Final answer
    x = 182,481.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.